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Find the volume of the solid generated when the region R bounded by the given curves is revolved about the indicated axis.

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Find the volume of the solid generated when the region R bounded by the given curves is revolved about the indicated axis. Do this by performing the following steps
A sketch the region R
B show a typical slice properly labeled
C write a formula for the approximate volume of the shell generated by this slice
D set up the corresponding integral
E Evaluate this integral

1. y= x^2 , x=I y=0 about the y axis

2. y=9 - x^2 ( x> 0 ), x=0 y=0

3. y=9-x^2 (x>0), x=0, y=o ; about the line x=3
4. y==x^2, y=3x ; about the y-axis
5. x = sqrt y + 1 y=4 , y=0 ; about the x-axis
6. x = sqrt 2y 1 , y= 2 x= 0 ; about the line y =3
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Find the volume of the solid generated when the region R bounded by the given curves is revolved about the indicated axis. Do this by performing the following steps
A sketch the region R
B show a typical slice properly labeled
C write a formula for the approximate volume of the shell generated by this slice
D set up the corresponding integral
E ...

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